12577443840 has 624 divisors, whose sum is σ = 48837363120. Its totient is φ = 2972712960.

The previous prime is 12577443839. The next prime is 12577443841. The reversal of 12577443840 is 4834477521.

12577443840 is a `hidden beast` number, since 1 + 2 + 577 + 4 + 4 + 38 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (12577443839) and next prime (12577443841).

It can be written as a sum of positive squares in 8 ways, for example, as 3941830656 + 8635613184 = 62784^2 + 92928^2 .

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12577443841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69488550 + ... + 69488730.

It is an arithmetic number, because the mean of its divisors is an integer number (78265005).

Almost surely, 2^12577443840 is an apocalyptic number.

12577443840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12577443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24418681560).

12577443840 is an abundant number, since it is smaller than the sum of its proper divisors (36259919280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12577443840 is a wasteful number, since it uses less digits than its factorization.

12577443840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 12577443840 in words is "twelve billion, five hundred seventy-seven million, four hundred forty-three thousand, eight hundred forty".